Critical phase of a magnetic hard hexagon model on triangular lattice

TL;DR

This paper introduces a modified hard hexagon model with restrictions that exhibits a novel critical phase, analyzed through Monte Carlo simulations and finite size scaling, revealing specific critical activity bounds.

Contribution

It presents a new restricted hard hexagon model that displays a critical phase absent in the traditional model, with estimated critical activity values.

Findings

Identification of a critical phase in the restricted model

Estimated critical activity bounds between 4 and 6

Demonstration of restrictions inducing new critical behavior

Abstract

We introduce a magnetic hard hexagon model with two-body restrictions for configurations of hard hexagons and investigate its critical behavior by using Monte Carlo simulations and a finite size scaling method for discreate values of activity. It turns out that the restrictions bring about a critical phase which the usual hard hexagon model does not have. An upper and a lower critical value of the discrete activity for the critical phase of the newly proposed model are estimated as 4 and 6, respectively.